Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level

Abstract

In the framework of a recently developed model of interacting composite fermions, we calculate the energy of different solid and Laughlin-type liquid phases of spin-polarized composite fermions. The liquid phases have a lower energy than the competing solids around the electronic filling factors nu=4/11,6/17, and 4/19 and may thus be responsible for the fractional quantum Hall effect at nu=4/11. The alternation between solid and liquid phases when varying the magnetic field may lead to reentrance phenomena in analogy with the observed reentrant integral quantum Hall effect.

4 pages, 3 figures; revised version accepted for publication in Phys. Rev. Lett

References in corpus (5)

• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• Microscopic Theory of the Reentrant IQHE in the First and Second Excited LLs
• Second Generation of Composite Fermions in the Hamiltonian Theory
• On the self-similarity in quantum Hall systems
• Magnetoroton instabilities and static susceptibilities in higher Landau levels

Cited by in corpus (6)

• Quantum Hall system in Tao-Thouless limit
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Reentrant topological phases in Mn-doped HgTe quantum wells
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid
• A Highly Correlated Topological Bubble Phase of Composite Fermions
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations